Comparative Statics for Market Games: The Strong Concavity Case

In this paper we study the effects of a change in sorne exogenous variable (the number of players or a parameter in the payoff functions) on the strategies played and payoffs obtained in a Nash Equilibrium in the framework of a Market Game (a generalization of the Cournot model)o We assume a strong concavity condition which implies that the best reply function of any player is decreasing on sum of the strategies of the remaining players (Le. strategic substitution). Our results generalize and unify those known in the Cournot model

Oligopolistic Competition as a Common Agency Game

In applying the common agency framework to the context of an oligopolistic industry, we want to go beyond the classical dichotomy between Cournot and Bertrand competition. We define two games, the oligopolistic game and the corresponding concept of oligopolistic equilibrium, and an associated auxiliary game that can be interpreted as a common agency game and that has the same set of equilibria. The parameterization of the set of (potential) equilibria in terms of competitive thoughness is derived from the first order conditions of the auxiliary game. The enforceability of monopolistic competition, of price and quantity competition, and of collusion is examined in this framework. We then describe the (reduced) set of equilibria one would obtain, first in the non-intrinsic case and then in the case where a global approach would be adopted instead of partial equilibrium approach. Finally, we illustrate the use of the concept of oligopolistic equilibrium and of the corresponding parameterization by referring to the standard case of symmetric quadratic utility.

On the competitive effects of divisionalization

In this paper, we assume that firms can create independent divisions which compete in quantities in a homogeneous good market. Assuming identical firms and constant returns to scale, we prove that the strategic interaction of firms yields Perfect Competition if the number of firms is beyond some critical level. Assuming a fixed cost per firm and an upper bound on the maximum number of divisions, we show that when this upper bound tends to infinity and the fixed cost tends to zero, market equilibrium may yield either Perfect Competition or a Natural Oligopoly.Publicad

Strategic Effects of Regulatory Capital Requirements in Imperfect Banking Competition

This paper analyses the competitive effects of capital requirement regulation on an oligopolistic credit market. In the first stage, banks choose the structure of refinancing their assets, thereby making an imperfect commitment to a loan capacity as a function of the chosen degree of capitalization and the regulatory capital requirement. In the second stage, loan price competition takes place. It is shown that a capital requirement regulation may not only decrease the supply of credit through an increased marginal cost effect but can have an additional collusive enhancing effect resulting in even higher credit prices and increased profits for the banks.equity regulation, oligopoly, capacity constraint

Relative Profitability of Dynamic Walrasian Strategies

The advantage of price-taking behavior in achieving relative profitability in oligopolistic quantity competition has been much appreciated recently from economic dynamics and evolutionary game theory, respectively. The current research intends to provide a direct economic interpretation as well as intuitive justification and further to build a linkage between different perspectives. In particular, a detailed illustration of an arbitrary oligopoly that produce a homogenous product is presented. So long as the outputs of other firms are fixed and the residual demand is downward sloping, for any two identical firms whose cost functions are convex, their output space can be divided symmetrically into mutually exclusive relatively profitability regimes. Furthermore, there exist infinitely many relative-profitability reactions for each firm in such “residual” duopoly, all of which intersect at the “residual” Walrasian equilibrium. This suggests that sticking to this dynamical equilibrium output constantly (i.e., the static Walrasian strategy) turns out to be a relative-profitability strategy at each period. On the other hand, regardless of what strategies its rival may take, a firm adopting price-taking strategy or more generally defined dynamic Walrasian strategies can achieve the relative profitability if an intertemporal equilibrium is reached. The methodology adopted and the conclusions arrived clarify the confusions and misunderstandings due to the different usages of same terminologies under different frameworks and generalize the previous available results in the literature to a higher level and a broader context.Price-taking, Walrasian behavior, Relative profit, Oligopoly, Cournot, dynamic Walrasian strategy.

Markets for Influence

We specify an oligopoly game, where firms choose quantity in order to maximise profits, that is strategically equivalent to a standard Tullock rent-seeking game. We then show that the Tullock game may be interpreted as an oligopsonistic market for influence.Alternative specifications of the strategic variable give rise to a range of Nash equilibria with varying levels of rent dissipation.Tullock contests, oligopoly

On centralized bargaining in a symmetric oligopolistic industry

In this paper we study interactions between labor and product markets, in an imperfectly competitive industry with centralized wage bargaining. Firms jointly bargain with the union over wages and then compete in prices or quantities. We show that the negotiated wage is independent of the number of firms, the degree of substitutability of firms' products, and the type of market competition, in a broad c1ass of industry specifications, including the standard syrnmetric linear demand system-linear one factor (labor) technology. This result is robust to various union objectives. Thus, unions are better-off as the market becomes more competitive because aggregate! employment increases. Finally,. motivated by the wage independence property, we propose that the bargained wage in a Bertrand homogenous market be taken as the limit of that of a differentiated market as the degree of substitutability goes to one